Multi angle Quantum geometry and resurgent perturbative/nonperturbative relations
Auteurs : Dunne, Gerald (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : Certain quantum spectral problems have the remarkable property that the formal perturbative series for the energy spectrum can be used to generate all other terms in the entire trans-series, in a completely constructive manner. I explain a geometric all-orders WKB approach to these perturbative/non-perturbative relations, which reveals surprising connections to number theory and modular forms.Codes MSC :
81Q20 - Semi-classical techniques in quantum theory, including WKB and Maslov methods
81T15 - Perturbative methods of renormalization (quantum theory)
81T16 - Nonperturbative methods of renormalization